Calculus II

0.0(0)
Studied by 0 people
call kaiCall Kai
learnLearn
examPractice Test
spaced repetitionSpaced Repetition
heart puzzleMatch
flashcardsFlashcards
GameKnowt Play
Card Sorting

1/32

flashcard set

Earn XP

Description and Tags

Trig Identities

33 Terms

1
New cards

sin(2x)

2sin(x)cos(x)

2
New cards

cos(2x)

cos2x - sin2x

2cos2x - 1

1 - 2sin2x

3
New cards

tan(2x)

2tanx / 1-tan2x

4
New cards

sin(A+B)

sin(A)cos(B) + sin(B)cos(A)

5
New cards

sin(A-B)

sin(A)cos(B) - cos(A)sin(B)

6
New cards

cos(A+B)

cos(A)cos(B) - sin(A)sin(B)

7
New cards

cos(A-B)

cos(A)cos(B) + sin(A)sin(B)

8
New cards

tan(A+B)

tanA + tanB / 1 - tanAtanB

9
New cards

tan(A-B)

tanA - tanB / 1 + tanAtanB

10
New cards

sin2x

1 - cos(2x) / 2

11
New cards

cos2x

1 + cos(2x) / 2

12
New cards

tan2x

1 - cos(2x) / 1 + cos(2x)

13
New cards

sin(x/2), cos(x/2), tan(x/2)

Square roots of their sin2x, cos2x, and tan2x versions without cos(2x)

14
New cards

sinAcosB

½ [ sin(A+B) + sin(A-B) ]

15
New cards

cosAcosB

½ [ cos(A+B) + cos(A-B) ]

16
New cards

sinAsinB

½ [ cos(A-B) - cos(A+B) ]

17
New cards

secx and tanx Identity

tan2x + 1 = sec2x

18
New cards

sinx and cosx Identity

sin2x + cos2x = 1

19
New cards

cotx and cscx Identity

cot2x + 1 = csc2x

20
New cards

∫tanx dx

ln |secx|

21
New cards

∫secx dx

ln |secx + tanx|

22
New cards

∫cscx dx

ln |cscx - cotx|

23
New cards

∫cotx dx

ln |sinx|

24
New cards

√x2 - a2

x = asecθ

25
New cards

√x2 + a2

x = atanθ

26
New cards

√a2 - x2

x = asinθ

27
New cards

∫sec2x dx

tanx

28
New cards

∫csc2x dx

-cotx

29
New cards

∫secxtanx dx

secx

30
New cards

∫cscxcotx dx

-cscx

31
New cards

d/dx (sin-1x)

1 / √1-x2

32
New cards

d/dx (cos-1x)

-1 / √1-x2

33
New cards

d/dx tan-1x

1 / 1+x2